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Finding the Fourth Proportional to 6,074.90, 9,115.99 and 4,202.28

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Solution

The fourth proportional to 6,074.90, 9,115.99 and 4,202.28 is: 6,305.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.90 : 9,115.99 = 4,202.28 : x
  2. Step 2: Convert to fraction form
    6,074.90/9,115.99 = 4,202.28/x
  3. Step 3: Cross multiply
    6,074.90x = 9,115.99 × 4,202.28
  4. Step 4: Simplify right side
    6,074.90x = 38,307,955.59
  5. Step 5: Solve for x
    x = 38,307,955.59/6,074.90
  6. Step 6: Final answer
    x = 6,305.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.